Question

A bag contains 16 blue marbles, 12 red marbles, and 12 green marbles.

If Malik randomly draws a marble from the bag (and puts it back) 25 times, how many times should he expect to pull a blue marble?

Answer 1

The random selection of a blue marble is an illustration of probability

You should expected to pull a blue marble 10 times

How to determine the expected blue marble?

The given parameters are:

Blue = 16

Red = 12

Green = 12

The total number of marbles is:

Total = 16 + 12 + 12

So we have:

Total = 40

The probability of selecting a blue marble is:

$P(Blue) = \frac{16}{40}$

When 25 marbles are selected, the expected number of blue is:

$Blue = n * P(Blue)$

So, we have:

$Blue = 25 * 16/40$

$Blue = 10$

Hence, the expected number of blue marbles is 10

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